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iren [92.7K]
3 years ago
14

Simplify the number using the imaginary unit i square root of -98

Mathematics
2 answers:
antiseptic1488 [7]3 years ago
3 0

Answer:

\sqrt{-98}=7i\sqrt{2}

Step-by-step explanation:

We wish to simplify:

\sqrt{-98}

We can rewrite it as such:

=\sqrt{-1\cdot 98}  =\sqrt{-1\cdot 49\cdot2}=\sqrt{-1}\cdot\sqrt{49}\cdot\sqrt{2}

Hence:

=i(7)\sqrt{2}

Therefore:

\sqrt{-98}=7i\sqrt{2}

emmainna [20.7K]3 years ago
3 0

this is the answer

Step-by-step explanation:

please mark me in the brainliest

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You know that y+3=12 so 12-3=9

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a traffic survey showed that 1,048 cars passed through an intersection in one hour. which is the best estimate of how many cars
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Which equation is equivalent to the equation 6x + 9=12
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1. Knowing that the area of a rectangle and a parallelogram is (base * height), use the given side length and
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Punctele O, A, B, C sunt coliniare în această ordine, iar segmentele OA, AB și BC au lungimile exprimate în cm, prin numere natu
julia-pushkina [17]

Răspuns:

a) OC = 18cm

b) MN = 6cm

Explicație pas cu pas:

Găsiți diagrama la întrebarea atașată.

a) Din diagramă se poate observa că OC = OA + AB + AC

OC = 2n + 2n + 2 + 2n + 4

OC = 6n + 6

Următorul este să obțineți valoarea lui n:

OM = OA + AM

Să obținem segmentul AM;

Deoarece M este segmentul mijlociu al AC, atunci;

AM = AC / 2

AM = AB + BC / 2

AM = 2n + 2 + 2n + 4/2

AM = 4n + 6/2

AM = 2n + 3

Din moment ce OM = OA + AM

OM = 2n + 2n + 3

OM = 4n + 3

Dat fiind OM = 11

11 = 4n + 3

4n = 11-3

4n = 8

n = 2

Următorul pas este să calculați OC;

OC = 6n + 6

OC = 6 (2) + 6

OC = 18

Prin urmare, lungimea segmentului OC este de 18 cm

b) Această întrebare ne cere să găsim segmentul de linie MN.

Din diagramă, MN = AM - AN

Deoarece AM = 2n + 3 din întrebarea 1;

AM = 2 (2) +3

AM = 4 + 3

AM = 7

Acum, să obținem AN:

Din diagramă, AN = ON-OA și ON = OB / 2

AN = OB / 2 - OA

AN = (2n + 2n + 2) / 2 - 2n

AN = 4n + 2/2 - 2n

AN = 2n + 1 - 2n

AN = 2n-2n + 1

AN = 1

De la MN = AM - AN

MN = 7 - 1

MN = 6cm

Prin urmare, distanța dintre N, mijlocul segmentului OB și punctul M este de 6cm

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3 years ago
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